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Finding the Fourth Proportional to 19,194, 28,792.65 and 5,343

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Solution

The fourth proportional to 19,194, 28,792.65 and 5,343 is: 8,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194 : 28,792.65 = 5,343 : x
  2. Step 2: Convert to fraction form
    19,194/28,792.65 = 5,343/x
  3. Step 3: Cross multiply
    19,194x = 28,792.65 × 5,343
  4. Step 4: Simplify right side
    19,194x = 153,839,128.95
  5. Step 5: Solve for x
    x = 153,839,128.95/19,194
  6. Step 6: Final answer
    x = 8,014.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.